Global dynamics of three species omnivory models with Lotka-Volterra interaction | |
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學年 | 105 |
學期 | 1 |
出版(發表)日期 | 2016-10-01 |
作品名稱 | Global dynamics of three species omnivory models with Lotka-Volterra interaction |
作品名稱(其他語言) | |
著者 | Ting-Hui Yang; Weinian Zhang; Kaijen Cheng |
單位 | |
出版者 | |
著錄名稱、卷期、頁數 | Discrete and Continuous Dynamical Systems - Series B 21(8), p.2867–2881 |
摘要 | In this work, we consider the community of three species food web model with Lotka-Volterra type predator-prey interaction. In the absence of other species, each species follows the traditional logistical growth model and the top predator is an omnivore which is defined as feeding on the other two species. It can be seen as a model with one basal resource and two generalist predators, and pairwise interactions of all species are predator-prey type. It is well known that the omnivory module blends the attributes of several well-studied community modules, such as food chains (food chain models), exploitative competition (two predators-one prey models), and apparent competition (one predator-two preys models). With a mild biological restriction, we completely classify all parameters. All local dynamics and most parts of global dynamics are established corresponding to the classification. Moreover, the whole system is uniformly persistent when the unique coexistence appears. Finally, we conclude by discussing the strategy of inferior species to survive and the mechanism of uniform persistence for the three species ecosystem. |
關鍵字 | Lotka-Volterra interaction;omnivory models;three species;food web model;ecosystem |
語言 | en_US |
ISSN | 1553-524X;1531-3492 |
期刊性質 | 國外 |
收錄於 | SCI |
產學合作 | |
通訊作者 | Kaijen Cheng |
審稿制度 | 是 |
國別 | USA |
公開徵稿 | |
出版型式 | ,電子版,紙本 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/109084 ) |